ABSTRACT
Newton's method (sometimes cal1ed the Newton-Rhapson method) for solving nonlinear equations is one of the most wel1-known and powerful procedures in all of numerical analysis. It always converges if the initial approximation is sufficiently close to the root, and it converges quadratical1y. Its only disadvantage is that the derivative j'(x) of the nonlinear functionj(x) must be evaluated.
